A new approach to solutions of the Einstein field equation is based on the concept of smooth transition between domains. A transition metric between Minkowski and Shwarzschild spacetimes is shown as an example of a successful implementation of the method. The transition between a Schwarzschild singularity and the Lemaitre–Robertson–Walker metric represents a more difficult problem, but the existence of a transition metric of C^2 continuity class, fulfilling the weak energy condition is demonstrated. Considerations upon the applicability to teh issue of motion in general relativity and the two-body problem are outlined.
Transition metrics: method and applications
FERRARIS, Marco;FRANCAVIGLIA, Mauro;
1996-01-01
Abstract
A new approach to solutions of the Einstein field equation is based on the concept of smooth transition between domains. A transition metric between Minkowski and Shwarzschild spacetimes is shown as an example of a successful implementation of the method. The transition between a Schwarzschild singularity and the Lemaitre–Robertson–Walker metric represents a more difficult problem, but the existence of a transition metric of C^2 continuity class, fulfilling the weak energy condition is demonstrated. Considerations upon the applicability to teh issue of motion in general relativity and the two-body problem are outlined.File in questo prodotto:
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